Remark on Dirichlet series satisfying functional equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0974.11035
author: Eugenio P. Balanzario
publication date: 2001-12-16T00:00:00Z
full work available at URL: https://eudml.org/doc/48977
full work available at URL: vol8-2.htm
Mathematics Subject Classification ID: 11M41
zbMATH DE Number: 1587391
zbMATH Keywords: periodic Dirichlet series
zbMATH Keywords: Riemann zeta-function
zbMATH Keywords: functional equations
MaRDI profile type: Publication
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title: Remark on Dirichlet series satisfying functional equations
published in: Divulgaciones Matemáticas
review text: The chapter 10.25 of \textit{E. C. Titchmarsh}'s, ``The theory of the Riemann zeta-function'' (Oxford 1986; Zbl 0601.10026) contains a well known example of \(5\)-periodic Dirichlet series satisfying a functional equation similar to the one satisfied by the Riemann zeta-function, but having zeros off the critical line. In the paper under review the author constructs more such examples of \(5\) and \(6\)-periodic Dirichlet series.
reviewed by: Ramūnas Garunkštis
description: scientific article